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Finding the Third Proportional to 378,767.25 and 828,794.25

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Solution

The third proportional to 378,767.25 and 828,794.25 is: 1,813,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,767.25 : 828,794.25 = 828,794.25 : x
  2. Step 2: Convert to fraction form
    378,767.25/828,794.25 = 828,794.25/x
  3. Step 3: Cross multiply
    378,767.25x = 828,794.25 × 828,794.25
  4. Step 4: Simplify right side
    378,767.25x = 686,899,908,833.06
  5. Step 5: Solve for x
    x = 686,899,908,833.06/378,767.25
  6. Step 6: Final answer
    x = 1,813,514.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.